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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 397800.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.q1 | 397800q1 | \([0, 0, 0, 72825, -21495125]\) | \(234367644416/1230836295\) | \(-224319914763750000\) | \([]\) | \(3317760\) | \(2.0115\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397800.q do not have complex multiplication.Modular form 397800.2.a.q
sage: E.q_eigenform(10)